Answer:
In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Thank you!!!!
9514 1404 393
Explanation:
The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.
This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.
__
The four theorems generally available for showing congruence of triangles are abbreviated ...
SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important
These list the sides/angles that must be identified as corresponding congruent parts.
Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.
If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.
_____
Additional comment
In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.
The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.
How many solutions are there to this equation?
4(x-5)=3x+7
A. 1
B. infinitely many
C. 0
Answer:
1
Step-by-step explanation:
4x-20=3x+7
x=27
3х – 8y = — 16
=
M
So yeah I kinda need help
Answer:
3x-8y-16 = 0
Step-by-step explanation:
Mr. Fullerton sold half of his “Captain Underpants” comic books and then bought sixteen more. He now has 36 “Captain Underpants” all together. How many comic books did he begin with?
Answer:
40 comic books
Step-by-step explanation:
36-16=20
20×2=40
The ratio of boys to girls in Mr. Hakeem's class is 64. If there are 18 boys, how many girls
are there? (1 point)
A 2
B. 10
C. 12
D. 24
How many girls
Answer: C. 12 girls
Step-by-step explanation:
In a class of 40 students, 21 like dance, 24 like music and 8 like both the activities. Illustrate it in a Venn - diagram and find the number of students who don't like any of the activity.
Answer:
As follows,
Step-by-step explanation:
Multiply out and simplify:
(x-8) (x-7)
To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:
(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)
= x² - 7x - 8x + 56
= x² - 15x + 56
Answer: x^2-15x+56
Step-by-step explanation:
1-Distribute
x(x-7)-8(x-7)
2-Distribute
x^2-7x-8(x-7)
3-Distribute
x^2-7x-8x+56
4-Combine like terms
x^2-15x+56
find the missing values in the ratio table then write the equivalent ratios
PLS HURRY!!
Answer:
1. 10
2. 4, and the bottom row is 21
3. divide the bottom by 4. you get 8
4. top row is 15 and bottom row is missing 6
Which of the following is correctly written in Standard Form?
A.) -6x + 3y = 8
B.) y = 6/5x + 4
C.) 6x - 2y = 4
D.) 6/5x + 3y = 8
HELP NEEDED PLZ
What is the value pls help
Answer:
n = 27
Step-by-step explanation:
Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4
So 27π = 27 × π = π × 27
n is 27
Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT
Answer:
Write properties of function:
x intercept/zero: x = 0
Step-by-step explanation:
Write properties of function: Write properties of function:
x intercept/zero: x = 0
Answer: Write properties of function:
x intercept/zero: x = 0
I need help finding what x is
Step-by-step explanation:
using Trigonometry,
sin40°=CB/x
x=CB/sin40°.
hope this helps you.
Answer x=1
Step-by-step explanation;
sin 90 =x
1=x
sorry im not sure of the answer
What is an equation in point slope form for the line perpendicular to..
Answer:
b
Step-by-step explanation:
And since we're perpendicular to y is equal to 3x plus 9, we know the slope of the two lines that are perpendicular
K times 3 is minus 1, so k is minus 1/3,
Only b and c match. Plug in the point negative 6,5.
The answer is b.
Divide. 46 532 Enter your answer by filling in the boxes
Answer:
11.5652173913
Step-by-step explanation:
You might have to round
What is the significance of a correlation coefficient of − 0 . 97 ?
Answer:
The points all lie very close to the line of fit, and the
line is decreasing.
Step-by-step explanation:
Brainliest maybe
Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.
Write a possible polynomial function in factored form with roots 0, -2, and 7. Group of answer choices
f(x)=(x+1)(x+2)(x−7)
f(x)=x(x+2)(x−7)
f(x)=x(x−2)(x+7)
f(x)=(x+2)(x−7)
Answer:
2nd option
Step-by-step explanation:
Given x = a is a root of a polynomial function then (x - a) is a factor
Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are
(x - 0) , (x - (- 2) ) , (x - 7) , that is
x , (x + 2) , (x - 7)
The polynomial function f(x) is then the product of the factors, so
f(x) = x(x + 2)(x - 7)
What is the answer of this
Answer:
[tex]\frac{25}{32}[/tex]
Step-by-step explanation:
Rode here on the bus
Now you're one of us
It was magic hour
Counting motorbikes
On the turnpike
One of Eisenhower's
Live your life on a merry-go-round
Who starts a fire just to let it go out?
(dreams tonite lol)
How many times larger than 2 x 102 is 2 x 108?
Answer:
1 x 106
Step-by-step explanation:
200,000,000 divided by 200 is equal to 1,000,000
guys pls help me!!!!!!
Answer:
48 degrees
Step-by-step explanation:
Answer: 6.8
Step-by-step explanation:
nnxj
Choose the correct answer
Answer:
b) 50 degrees
Step-by-step explanation:
I'm not sure if it 100% correct but this is what i remember:
BCE is a straight line and a straight line is equal to 180 degrees.
If AB=AC then the angle of both those corners will be 180-115
which equals to 65 degrees (both angles)
Now because all corners of a triangle add up to 180
you can do 180-65-65 which is 180-130
this equals to the angle BAC which is 50 degrees
Alicia has 7 paintings she wants to hang side by side on her wall.
2. If Alicia only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
3. In how many ways can Alicia arrange 4 out of the 7 paintings? Show your work.
The question is an illustration of permutation and combinations.
The number of ways she can choose 4 out of the 7 paintings is 35The number of ways she can arrange 4 out of the 7 paintings is 840The given parameters are:
[tex]\mathbf{n = 7}[/tex]
[tex]\mathbf{r = 4}[/tex]
(a) Choose 4 of 7 paintings
Choosing 4 of 7 paintings implies combination.
So, we have:
[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]
Substitute values for n and r
[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]
[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]
Expand
[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]
[tex]\mathbf{^7C_4 = 35}[/tex]
Hence, the number of ways she can choose 4 out of the 7 paintings is 35
(b) Arrange 4 of 7 paintings
Arranging 4 of 7 paintings implies permutation.
So, we have:
[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]
Substitute values for n and r
[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]
[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]
Expand
[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]
[tex]\mathbf{^7P_4 = 840}[/tex]
Hence, the number of ways she can arrange 4 out of the 7 paintings is 840
Read more about permutation and combinations at:
https://brainly.com/question/15301090
find the measure of the indicated angle
Answer:
Angle A is also the measurement of 48 degrees because the dashes on the triangle lines indicate that they are the same.
Step-by-step explanation:
5
3
Which of the following has the same value as 7 - - 2-
6 6
Answer:
MY ANSWER IS 5 THANK YOU FOR QUESTION
if f(x)=3x-5 and g(x)=x², find (f o g)(3)
Answer:
(f ∘ g) (3) = 22
Step-by-step explanation:
f( x + 3x - 5; g (x) = x² ∴ g ( 3 ) = 3² = 9
( f ∘ g ) ( 3 ) = f(g(3)) = f ( 9 ) = 3 · 9 - 5 = 27 - 5 = 22 [Ans]
Simplify: 2k– 3k+ 3k
Step-by-step explanation:
2k - (3k - 3k) = 2k
please give me a brainliest answer
Answer:
2k
Step-by-step explanation:
Because all the values in our equation have the same variable, k, we can simply combine them.
We can begin with the first part of the equation:
2k - 3k
As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :
-1k, or -k
Now, we add on our other part of the equation:
-1k + 3k
We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:
2k
Hope this helps :)
ebgjwbjhkjfhdsn wmiuehdbnsmkji
Answer:
im srry what
Step-by-step explanation:
DYK?
— Pretty face is everywhere, but a woman who cheer you up at your weakest and stay after knowing about your flaws and bad sides are rare, so you better keep her dude!.
#moodchallenge
The picture needs to be answered.
Answer:
if 3 children go to the water park, 4 adults can go: TRUE
if 6 children go to the water park 3 adjults can go: FALSE
no adults, 6 children: TRUE (even 9 children can go)
no children, 6 adults: TRUE
10x is indeed the cost of the children
15y is indeed the cost of the adults
Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8
Answer: See below
Step-by-step explanation:
A. 2.1 No (2.1>2)
B. -1 Yes
C. 0 Yes
D. -7.5 No (-7.5<-7)
E. 3.5 No (3.5>2)
F. -6.4 Yes
G. -8 No (-8<-7)
can someone please help
Answer:
the slope is -8
Step-by-step explanation:
suppose that a and b are rational numbers. which expression is equivalent to a - b?
A. a+b
B. -a + b
C. a + (-b)
D. -a + (-b)
please help! due today
Answer: Its a
Step-by-step explanation:
What is the value of x in the equation 2(x−3)+9=3(x+1)+x?
a. x = −3
b. x = −1
c. x = 0
d. x = 3
Answer:
x=0
Step-by-step explanation:
1st Step(Plug in 0 for x): 2(0-3)+9=3(0+1)+x
2nd Step(Simplify): 2*(-3)+9=3*(1)+x
3rd Step(Multiply): -6+9=3+x
4th Step(Add): 3=3+x
5th Step(Subtract 3 from both sides): x=0
For any questions saying what is the value of x in the equation, just plug in one of the options from a,b,c,d. And work from there
